 | J. F. H. de Rheims - 1865 - 336 páginas
...in a semicircle is a right angle, but the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. EUCLID, BOOK VI. Prop. 2. — Theorem. If a straight line be drawn parallel to one of the sides of... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...when the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle. [III. 31. Therefore, conversely, if the given triangle be acuteangled, the centre of the circle falls... | |
 | Robert Potts - 1868 - 434 páginas
...a semicircle is a right angle ; lint the angle in a legmenl greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle... | |
 | Edinburgh univ - 1868 - 336 páginas
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 2. Of two straight lines within a circle, one passes through the centre and cuts, at right angles,... | |
 | Horatio Nelson Robinson - 1868 - 276 páginas
...a right angle ; an angle in a tegment greater than a semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. (Th. 8) ; that is, one half of 180°, or 90°, which is the measure of a right angle. If the angle... | |
 | William Davis Haskoll - 1868 - 252 páginas
...greater segment of a circle than a semicircle is less than a right angle, and the angle contained by a segment less than a semicircle is greater than a right angle. In any circle (fig. 41), a perpendicular from the circumference to the diameter is a mean proportional... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 páginas
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. ALGEBRA. I. Specimen Paper, (Time, 8 hours.) 1. Fiud (1) the sum, (2) the difference, of the two expressions—... | |
 | Henry Raper - 1870 - 968 páginas
...the arc BDC, that is, by a quantity less than half 180° (No. 140), is less than a right angle. 143. The angle in a segment less than a semicircle is greater than a right angle. The segment BAG being less than a semicircle, the segment BDC must be greater than a semicircle, and... | |
 | Richard Wormell - 1870 - 304 páginas
...semicircle is a right-angle ; the angle in a segment greater than a semicircle is less than a right-angle ; and the angle in a segment less than a semicircle, is greater than a right-angle. Let the angle ABC (fig. 180) be the angle in the segment ABC.. If the segment be a semicircle,... | |
 | Henry William Watson - 1871 - 320 páginas
...in a semicircle is a right angle, and the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. Let ABDC be a circle and BC its diameter, and therefore BAC a semicircle, then shall the angle BAC be a... | |
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The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 
